Pith Number

pith:KQKG7TCY

pith:2022:KQKG7TCY6OVYWC4FSUX5JUSGSB

not attested not anchored not stored refs pending

Thermodynamics and phase transition in central charge criticality of charged Gauss-Bonnet AdS black holes

Huan Yang, Jun Tao, Yang Qu

arxiv:2211.08127 v2 · 2022-11-15 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KQKG7TCY6OVYWC4FSUX5JUSGSB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Extended Thermodynamics and Renyi Entropy Beyond Fixed Central Charge

Receipt and verification

First computed	2026-07-05T06:15:18.125898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54146fcc58f3ab8b0b85952fd4d2469065b8d2762774e96e9bd84d4a2418152d

Aliases

arxiv: 2211.08127 · arxiv_version: 2211.08127v2 · doi: 10.48550/arxiv.2211.08127 · pith_short_12: KQKG7TCY6OVY · pith_short_16: KQKG7TCY6OVYWC4F · pith_short_8: KQKG7TCY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KQKG7TCY6OVYWC4FSUX5JUSGSB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 54146fcc58f3ab8b0b85952fd4d2469065b8d2762774e96e9bd84d4a2418152d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "540f4e5019b71a525009d397c4e21752ce94a9959ee5b4e7b50f90603a2514b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-15T13:30:30Z",
    "title_canon_sha256": "09b2611b265e8c4dda89aa7776c3c55f4824f0f478ad1ef6965ee9dad29d4b7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.08127",
    "kind": "arxiv",
    "version": 2
  }
}